Question

In a triangle ABC, if the sum of angle A and B is 150 and angle B and C is 100. What is the measure of each angle.

Answer 1

ANSWER:

$A+B=150°$

$A+B+C=180°</p><p>\angleC=30°$

Putting C in 2nd eq

$\angleB=70°$

$\angleA=80°$

Answer 2

Step-by-step explanation:

In Triangle ABC,

angle A +angle B=150-(1)

angle B + angle C=100-(2)

NOW, by angle sum propeet,

angle A +angle B +angle C=180

(angleA+angle B)+ angle C =180

150+angleC =180

hence, angle C=30

now angle B +angle C=100

angleB +30=100

hence, angleB=70

now ,angleA+angleB=150

angleA+70=150

hence, angleA=80

hence, angle A=8

angleB=70

angleC=30